by
Wolfson, Richard

Chapter 11 - Exercises and Problems - Page 201: 49

Answer

Work Step by Step

We take the cross product to find:
$=\vec{A}\times\vec{B}\\=(A_x\hat{i}+A_y\hat{j}+A_z\hat{k})\times(B_x\hat{i}+B_y\hat{j}+B_z\hat{k}) \\ = (A_yB_z-A_zB_y)\hat{i}+(A_zB_x-A_xB_z)\hat{j}+(A_xB_y-A_yB_x)\hat{k}$